11248000 has 128 divisors (see below), whose sum is σ = 30232800. Its totient is φ = 4147200.

The previous prime is 11247997. The next prime is 11248001. The reversal of 11248000 is 84211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11248001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303982 + ... + 304018.

Almost surely, 2^11248000 is an apocalyptic number.

11248000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116400).

11248000 is an abundant number, since it is smaller than the sum of its proper divisors (18984800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11248000 is an equidigital number, since it uses as much as digits as its factorization.

11248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11248000 is about 3353.8038106007. The cubic root of 11248000 is about 224.0569583046.

The spelling of 11248000 in words is "eleven million, two hundred forty-eight thousand".